Baller

What you want to spawn with one of the green pegs to show up within the middle pegs, and you want to use your first ball to get the a green peg and as many orange pegs as possible. After that, use the power to clear the armoured pieces by performing a slide. Choose the side with the green peg if available, or the one with more orange pieces, although it doesn't make a huge difference. Also, it's best if your balls land in the bucket for more chance at getting the achievement, but it's not needed. After clearing both sides using the powershot, you should have between 13-15 balls available. Use what you have left to clear the last orange peg to beat the level.